Least Common Multiple of 15, 45, 60

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

• Least Common Multiple of 15, 45, 60 by common division method
• Least Common Multiple of 15, 45, 60 with GCF Formula

∴ So the LCM of the given numbers is 3 x 5 x 1 x 3 x 4 = 180

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 15,45,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,45,60) = 15

common factors(in case of two or more numbers have common factors) = 15

GCF(15,45,60) x common factors =15 x 15 = 225

LCM(15,45,60) = ( 15 × 45 × 60 ) / 225

LCM(15,45,60) = 40500 / 225

LCM(15,45,60) = 180

∴ Least Common Multiple of 15,45,60 is 180

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 57, 97, 72
• LCM of 22, 67, 94
• LCM of 59, 43, 55
• LCM of 75, 82, 55
• LCM of 35, 90, 28

1. What is the LCM of 15, 45, 60?

Answer: LCM of 15, 45, 60 is 180.

2. What are the Factors of 180?

Answer: Factors of 180 are . There are integers that are factors of 180

3. How to Find the LCM of 15, 45, 60 ?

Least Common Multiple of 15, 45, 60.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(15, 45, 60) = 2 x 2 x 3 x 3 x 5 = 180.